2 Question Consider the product mix problem we discussed in class with the following formulation: maxs.t.y0.4xm1+0.3xc1+0.5xs11500.6xm2+0.2xc2+0.6xs2150y0.5xm1+xm2y0.4xc1+xc2y0.1xs1+xs2xij0i{m,c,s},j{1,2} Decide whether each of the following formulations is correct or not. By a correct model we mean can we reach to the required conclusion using the output of our model or not. If incorrect, decide if the new formulation would yield a better or a worse objective function value. 1. maxs.t.0.4xm1+0.3xc1+0.5xs1+0.4xm1+0.3xc1+0.5xs11500.6xm2+0.2xc2+0.6xs2150xij0i{m,c,s},j{1,2} 2. maxs.t.0.4xc1+xc20.4xm1+0.3xc1+0.5xs11500.6xm2+0.2xc2+0.6xs21500.4xc1+xc2=0.1xs1+xs2xij0i{m,c,s},j{1,2} 2 Question Consider the product mix problem we discussed in class with the following formulation: maxs.t.y0.4xm1+0.3xc1+0.5xs11500.6xm2+0.2xc2+0.6xs2150y0.5xm1+xm2y0.4xc1+xc2y0.1xs1+xs2xij0i{m,c,s},j{1,2} Decide whether each of the following formulations is correct or not. By a correct model we mean can we reach to the required conclusion using the output of our model or not. If incorrect, decide if the new formulation would yield a better or a worse objective function value. 1. maxs.t.0.4xm1+0.3xc1+0.5xs1+0.4xm1+0.3xc1+0.5xs11500.6xm2+0.2xc2+0.6xs2150xij0i{m,c,s},j{1,2} 2. maxs.t.0.4xc1+xc20.4xm1+0.3xc1+0.5xs11500.6xm2+0.2xc2+0.6xs21500.4xc1+xc2=0.1xs1+xs2xij0i{m,c,s},j{1,2}